SOLUTION: How can I solve this by using Gauss-Jordan elimination? 1 -2 -3 | -2 1 -4 -13| 14 -3 5 4 | 0

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Question 957908: How can I solve this by using Gauss-Jordan elimination?
1 -2 -3 | -2
1 -4 -13| 14
-3 5 4 | 0
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Your matrix

%28matrix%283%2C4%2C1%2C+-2%2C+-3%2C+-2%2C1%2C+-4%2C+-13%2C14%2C-3%2C+5+%2C4+%2C0%29%29
Find the pivot in the 1st column in the 1st row
%28matrix%283%2C4%2C1%2C+-2%2C+-3%2C+-2%2C1%2C+-4%2C+-13%2C14%2C-3%2C+5+%2C4+%2C0%29%29

Eliminate the 1st column

%28matrix%283%2C4%2C1%2C-2%2C-3%2C-2%2C0%2C-2%2C-10%2C16%2C0%2C-1%2C-5%2C-6%29%29
Find the pivot in the 2nd column (inversing the sign in the whole row) and swap the 3rd and the 2nd rows

%28matrix%283%2C4%2C1%2C-2%2C-3%2C-2%2C0%2C1%2C5%2C6%2C0%2C-2%2C-10%2C16%29%29

Eliminate the 2nd column

%28matrix%283%2C4%2C1%2C0%2C7%2C10%2C0%2C1%2C5%2C6%2C0%2C0%2C0%2C28%29%29

Solution set:
The system is inconsistent.